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1.9.2Physical Chemistry

EMF of Electrochemical Cells — Oxford AQA International A Level Chemistry Revision Notes & Topical Questions

5 min read 6 parts Lesson 48 of 63

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Part 1 of 6Calculating EMF

1.9.2 EMF of Electrochemical Cells

The EMF is the maximum potential difference of the cell under standard conditions.

Calculating EMF
Formula
  • E⦵cell = E⦵(positive electrode) − E⦵(negative electrode), where both values are taken from the table of reduction potentials.
Positive electrode
  • The half-cell with the more positive (or less negative) E⦵ gains electrons and is reduced.
Negative electrode
  • The half-cell with the more negative E⦵ loses electrons and is oxidised, so its half-equation is reversed.
No scaling
  • E⦵ does not change when a half-equation is multiplied, because potential is independent of the amount of substance.

Part 2 of 6Predicting Reactions

1
List the two half-equations as reductions with their E⦵ values and identify which is more positive.
2
The more positive half-equation runs forwards, and the other runs backwards, giving the overall reaction.
3
Balance the electrons, add the half-equations and cancel the electrons to obtain the full equation.
4
Calculate E⦵cell; a positive value means the reaction is feasible under standard conditions.
5
Remember a feasible reaction may still be extremely slow if its activation energy is high.

Part 3 of 6Practical: Measuring EMF

Preparation
  • Clean each metal strip with sandpaper and degrease it with propanone so that oxide layers do not affect the reading.
Half-cells
  • Place each metal in a beaker containing 1.00 mol dm⁻³ solution of its own ions, using equal volumes.
Salt bridge
  • Connect the beakers with a strip of filter paper or tube soaked in an unreactive electrolyte, preparing it fresh for each cell.
Reading
  • Connect a high-resistance voltmeter with crocodile clips and record the stable value, noting which terminal is positive.
Comparing
  • Repeat with different pairs of metals and compare with calculated EMF values, which should agree closely if conditions are standard.

Part 4 of 6Limitations of Predictions

Limitations of Predictions
Conditions
  • Real concentrations, temperatures and pressures differ from standard values, which shifts the equilibrium positions and the EMF.
Rate
  • E⦵ tells us whether a reaction is feasible, not how fast it is, as kinetic barriers can prevent change.
Measurement
  • A voltmeter with insufficient resistance draws current, so the measured value falls below the true EMF.
Half-equationE⦵ / V
Zn²⁺ + 2e⁻ ⇌ Zn−0.76
Cu²⁺ + 2e⁻ ⇌ Cu+0.34
Ag⁺ + e⁻ ⇌ Ag+0.80
Fe³⁺ + e⁻ ⇌ Fe²⁺+0.77
I₂ + 2e⁻ ⇌ 2I⁻+0.54

Part 5 of 6Worked Example

Question Use the table to find E⦵cell for Fe³⁺/Fe²⁺ with I₂/I⁻ and write the feasible reaction.

  1. Fe³⁺/Fe²⁺ (+0.77 V) is more positive than I₂/I⁻ (+0.54 V), so Fe³⁺ is reduced and I⁻ is oxidised.
  2. E⦵cell = 0.77 − 0.54 = +0.23 V.
  3. Balance electrons
    12Fe³⁺ + 2e⁻22Fe²⁺ and 2I⁻3I₂ + 2e⁻
  4. Add2Fe³⁺(aq) + 2I⁻(aq) → 2Fe²⁺(aq) + I₂(aq).

Answer E⦵cell = +0.23 V; reaction is feasible

Part 6 of 6Exam Checklist & Tips

1.9.2 – Key Points for the Exam

  • EMF The maximum potential difference between the two electrodes of a cell, measured with no current flowing.
  • Reduction potential The potential for a half-equation written with electrons on the left.
  • Feasible reaction One with a positive E⦵cell under standard conditions.
  • Oxidising agent A species that accepts electrons and is reduced.

Common Mistakes

  • Doubling E⦵ when a half-equation is multiplied by two.
  • Subtracting the positive electrode from the negative one, giving the wrong sign.
  • Saying a positive EMF means a fast reaction.
  • Forgetting to reverse the half-equation with the lower E⦵ when writing the full equation.

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Cambridge 9700 AS Biology Core Formula

Magnification Triangle & Unit Conversion

Formula: M = I / A  ⇔  A = I / M  ⇔  I = M × A

Units: 1 mm = 1,000 μm = 1,000,000 nm.
Rule: Convert Image size (ruler mm) to μm by ×1,000 before dividing by Actual size.